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Polynomially based multi-projection methods for Fredholm integral equations of the second kind - MaRDI portal

Polynomially based multi-projection methods for Fredholm integral equations of the second kind (Q732459)

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scientific article; zbMATH DE number 5612885
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Polynomially based multi-projection methods for Fredholm integral equations of the second kind
scientific article; zbMATH DE number 5612885

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    Polynomially based multi-projection methods for Fredholm integral equations of the second kind (English)
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    9 October 2009
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    The authors consider polynomially based multi-projection methods for Fredholm integral equations of the second kind with smooth kernels. Their purpose is to obtain super-convergence rates using global polynomial bases as can be obtained with piecewise polynomial bases. The paper is structured as follows: After preliminaries, an abstract framework is introduced, which forms the basis for the description and analysis of multi-projection methods. The paper concludes with numerical examples illustrating the main results.
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    smooth kernel
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    projection method
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    super-convergence rates
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    orthogonal polynomials
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    Fredholm integral equations of the second kind
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    numerical examples
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